Math Colloquium: "Affine Geometry Inspired by the Game of SET®"Math Colloquium: "Affine Geometry Inspired by the Game of SET®"http://www.haverford.edu/calendar/details/252901KINSC H0192013-10-28T16:00:002013-10-28T17:00:00
October 28,2013 4:00PM–5:00PM
Liz McMahon (Lafayette College). KINSC H109.
Bi-College Math Colloquium
"Affine Geometry Inspired by the Game of SET®"
Liz McMahon, Lafayette College.
Talk at 4 in KINSC H109
Tea at 3:30 in the Math Lounge (KINSC H208)
Abstract: The cards in the game of SET® are an excellent model for the finite affine geometry AG(4,3). We will explore how to use the game to visualize the structure of the geometry and to explore that structure. We will focus on complete caps, which correspond to largest possible collections of cards with no sets. There is an interesting structure to these caps, and even more, the geometry can be partitioned into four disjoint complete caps together with a single point closely related to the caps. Recent results make the structure of these partitions even clearer.
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